Implemented improved BLISS-B signature algorithm

This commit is contained in:
Andreas Steffen 2015-01-31 02:16:15 +01:00
parent d0d8568356
commit c2aca9eed2
13 changed files with 359 additions and 47 deletions

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@ -28,6 +28,7 @@ plugins = \
plugins/android_log.opt \
plugins/attr.opt \
plugins/attr-sql.opt \
plugins/bliss.opt \
plugins/certexpire.opt \
plugins/coupling.opt \
plugins/dhcp.opt \

2
conf/plugins/bliss.opt Normal file
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@ -0,0 +1,2 @@
charon.plugins.bliss.use_bliss_b = yes
Use the enhanced BLISS-B key generation and signature algorithm.

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@ -218,6 +218,10 @@
0x02 "BLISS-II" OID_BLISS_II
0x03 "BLISS-III" OID_BLISS_III
0x04 "BLISS-IV" OID_BLISS_IV
0x05 "BLISS-B-I" OID_BLISS_B_I
0x06 "BLISS-B-II" OID_BLISS_B_II
0x07 "BLISS-B_III" OID_BLISS_B_III
0x08 "BLISS-B_IV" OID_BLISS_B_IV
0x03 "blissSigType"
0x01 "BLISS-with-SHA512" OID_BLISS_WITH_SHA512
0x89 ""

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@ -27,10 +27,13 @@ bliss_huffman_code_t* bliss_huffman_code_get_by_id(bliss_param_set_id_t id)
switch (id)
{
case BLISS_I:
case BLISS_B_I:
return &bliss_huffman_code_1;
case BLISS_III:
case BLISS_B_III:
return &bliss_huffman_code_3;
case BLISS_IV:
case BLISS_B_IV:
return &bliss_huffman_code_4;
default:
return NULL;

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@ -17,11 +17,15 @@
#include <asn1/oid.h>
ENUM(bliss_param_set_id_names, BLISS_I, BLISS_IV,
ENUM(bliss_param_set_id_names, BLISS_I, BLISS_B_IV,
"BLISS-I",
"BLISS-II",
"BLISS-III",
"BLISS-IV"
"BLISS-IV",
"BLISS-B-I",
"BLISS-B-II",
"BLISS-B-III",
"BLISS-B-IV"
);
/**
@ -118,8 +122,8 @@ static uint8_t c_bliss_iv[] = {
static bliss_param_set_t bliss_param_sets[] = {
/* BLISS-I scheme */
{
.id = BLISS_I,
{
.id = BLISS_I,
.oid = OID_BLISS_I,
.strength = 128,
.q = 12289,
@ -132,6 +136,7 @@ static bliss_param_set_t bliss_param_sets[] = {
.non_zero2 = 0,
.kappa = 23,
.nks_max = 46479,
.p_max = 0, /* not needed */
.sigma = 215,
.k_sigma = 254,
.k_sigma_bits = 8,
@ -141,14 +146,14 @@ static bliss_param_set_t bliss_param_sets[] = {
.z1_bits = 12,
.d = 10,
.p = 24,
.M = 46539,
.B_inf = 2047, /* reduced from 2100 due to 12 bit z1 encoding */
.M = 46539, /* with alpha = 1.000 */
.B_inf = 2047, /* reduced from 2100 due to 12 bit z1 encoding */
.B_l2 = 12872 * 12872
},
},
/* BLISS-III scheme */
{
.id = BLISS_III,
{
.id = BLISS_III,
.oid = OID_BLISS_III,
.strength = 160,
.q = 12289,
@ -161,6 +166,7 @@ static bliss_param_set_t bliss_param_sets[] = {
.non_zero2 = 16,
.kappa = 30,
.nks_max = 128626,
.p_max = 0, /* not needed */
.sigma = 250,
.k_sigma = 295,
.k_sigma_bits = 9,
@ -170,14 +176,14 @@ static bliss_param_set_t bliss_param_sets[] = {
.z1_bits = 12,
.d = 9,
.p = 48,
.M = 128113,
.M = 128113, /* with alpha = 0.700 */
.B_inf = 1760,
.B_l2 = 10206 * 10206
},
},
/* BLISS-IV scheme */
{
.id = BLISS_IV,
{
.id = BLISS_IV,
.oid = OID_BLISS_IV,
.strength = 192,
.q = 12289,
@ -190,6 +196,7 @@ static bliss_param_set_t bliss_param_sets[] = {
.non_zero2 = 31,
.kappa = 39,
.nks_max = 244669,
.p_max = 0, /* not needed */
.sigma = 271,
.k_sigma = 320,
.k_sigma_bits = 9,
@ -199,10 +206,101 @@ static bliss_param_set_t bliss_param_sets[] = {
.z1_bits = 12,
.d = 8,
.p = 96,
.M = 244186,
.M = 244186, /* with alpha = 0.550 */
.B_inf = 1613,
.B_l2 = 9901 * 9901
}
},
/* BLISS-B-I scheme */
{
.id = BLISS_B_I,
.oid = OID_BLISS_B_I,
.strength = 128,
.q = 12289,
.q_bits = 14,
.q2_inv = 6145,
.n = 512,
.n_bits = 9,
.fft_params = &bliss_fft_12289_512,
.non_zero1 = 154,
.non_zero2 = 0,
.kappa = 23,
.nks_max = 0, /* not needed */
.p_max = 17825,
.sigma = 215,
.k_sigma = 254,
.k_sigma_bits = 8,
.c = c_bliss_i,
.c_cols = 16,
.c_rows = 21,
.z1_bits = 12,
.d = 10,
.p = 24,
.M = 17954, /* with alpha = 1.610 */
.B_inf = 2047, /* reduced from 2100 due to 12 bit z1 encoding */
.B_l2 = 12872 * 12872
},
/* BLISS-B-III scheme */
{
.id = BLISS_B_III,
.oid = OID_BLISS_B_III,
.strength = 160,
.q = 12289,
.q_bits = 14,
.q2_inv = 6145,
.n = 512,
.n_bits = 9,
.fft_params = &bliss_fft_12289_512,
.non_zero1 = 216,
.non_zero2 = 16,
.kappa = 30,
.nks_max = 0, /* not needed */
.p_max = 42270,
.sigma = 250,
.k_sigma = 295,
.k_sigma_bits = 9,
.c = c_bliss_iii,
.c_cols = 16,
.c_rows = 21,
.z1_bits = 12,
.d = 9,
.p = 48,
.M = 42455, /* with alpha = 1.216 */
.B_inf = 1760,
.B_l2 = 10206 * 10206
},
/* BLISS-B-IV scheme */
{
.id = BLISS_B_IV,
.oid = OID_BLISS_B_IV,
.strength = 192,
.q = 12289,
.q_bits = 14,
.q2_inv = 6145,
.n = 512,
.n_bits = 9,
.fft_params = &bliss_fft_12289_512,
.non_zero1 = 231,
.non_zero2 = 31,
.kappa = 39,
.nks_max = 0, /* not needed */
.p_max = 69576,
.sigma = 271,
.k_sigma = 320,
.k_sigma_bits = 9,
.c = c_bliss_iv,
.c_cols = 16,
.c_rows = 22,
.z1_bits = 12,
.d = 8,
.p = 96,
.M = 70034, /* with alpha = 1.027 */
.B_inf = 1613,
.B_l2 = 9901 * 9901
}
};
/**

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@ -33,10 +33,14 @@ typedef struct bliss_param_set_t bliss_param_set_t;
* BLISS signature parameter set ID list
*/
enum bliss_param_set_id_t {
BLISS_I = 1,
BLISS_II = 2,
BLISS_III = 3,
BLISS_IV = 4
BLISS_I = 1,
BLISS_II = 2,
BLISS_III = 3,
BLISS_IV = 4,
BLISS_B_I = 5,
BLISS_B_II = 6,
BLISS_B_III = 7,
BLISS_B_IV = 8
};
extern enum_name_t *bliss_param_set_id_names;
@ -107,10 +111,15 @@ struct bliss_param_set_t {
uint16_t kappa;
/**
* Maximum Nk(S) tolerable NK(S) norm
* Maximum Nk(S) tolerable NK(S) norm (BLISS only)
*/
uint32_t nks_max;
/**
* Maximum value Pmax for ||Sc'||^2 norm (BLISS-B only)
*/
uint32_t p_max;
/**
* Standard deviation sigma
*/

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@ -102,6 +102,61 @@ static void multiply_by_c(int8_t *s, int n, uint16_t *c_indices,
}
}
/**
* BLISS-B GreedySC algorithm
*/
static void greedy_sc(int8_t *s1, int8_t *s2, int n, uint16_t *c_indices,
uint16_t kappa, int32_t *v1, int32_t *v2)
{
int i, j, index;
int32_t sign;
for (i = 0; i < n; i++)
{
v1[i] = v2[i] = 0;
}
for (j = 0; j < kappa; j++)
{
index = c_indices[j];
sign = 0;
for (i = 0; i < index; i++)
{
sign -= (v1[i] * s1[i - index + n] + v2[i] * s2[i - index + n]);
}
for (i = index; i < n; i++)
{
sign += (v1[i] * s1[i - index] + v2[i] * s2[i - index]);
}
for (i = 0; i < index; i++)
{
if (sign > 0)
{
v1[i] += s1[i - index + n];
v2[i] += s2[i - index + n];
}
else
{
v1[i] -= s1[i - index + n];
v2[i] -= s2[i - index + n];
}
}
for (i = index; i < n; i++)
{
if (sign > 0)
{
v1[i] -= s1[i - index];
v2[i] -= s2[i - index];
}
else
{
v1[i] += s1[i - index];
v2[i] += s2[i - index];
}
}
}
}
/**
* Compute a BLISS signature based on a SHA-512 hash
*/
@ -126,7 +181,7 @@ static bool sign_bliss_with_sha512(private_bliss_private_key_t *this,
double mean1 = 0, mean2 = 0, sigma1 = 0, sigma2 = 0;
chunk_t seed;
chunk_t data_hash = { data_hash_buf, sizeof(data_hash_buf) };
bool accepted, positive, success = FALSE;
bool accepted, positive, success = FALSE, use_bliss_b;
/* Initialize signature */
*signature = chunk_empty;
@ -184,6 +239,23 @@ static bool sign_bliss_with_sha512(private_bliss_private_key_t *this,
fft = bliss_fft_create(this->set->fft_params);
/* Use of the enhanced BLISS-B signature algorithm? */
switch (this->set->id)
{
case BLISS_I:
case BLISS_II:
case BLISS_III:
case BLISS_IV:
use_bliss_b = FALSE;
break;
case BLISS_B_I:
case BLISS_B_II:
case BLISS_B_III:
case BLISS_B_IV:
use_bliss_b = TRUE;
break;
}
while (true)
{
tests++;
@ -284,20 +356,48 @@ static bool sign_bliss_with_sha512(private_bliss_private_key_t *this,
goto end;
}
/* Compute s*c */
multiply_by_c(this->s1, n, c_indices, this->set->kappa, s1c);
multiply_by_c(this->s2, n, c_indices, this->set->kappa, s2c);
if (use_bliss_b)
{
/* Compute v = (s1c, s2c) with the GreedySC algorithm */
greedy_sc(this->s1, this->s2, n, c_indices, this->set->kappa,
s1c, s2c);
/* Reject with probability 1/(M*exp(-norm^2/2*sigma^2)) */
norm = bliss_utils_scalar_product(s1c, s1c, n) +
bliss_utils_scalar_product(s2c, s2c, n);
/* Compute norm = ||v||^2 = ||Sc'||^2 */
norm = bliss_utils_scalar_product(s1c, s1c, n) +
bliss_utils_scalar_product(s2c, s2c, n);
/* Just in case. ||v||^2 <= P_max should always be fulfilled */
if (norm > this->set->p_max)
{
goto end;
}
}
else
{
/* Compute s*c */
multiply_by_c(this->s1, n, c_indices, this->set->kappa, s1c);
multiply_by_c(this->s2, n, c_indices, this->set->kappa, s2c);
/* Compute norm = |Sc||^2 */
norm = bliss_utils_scalar_product(s1c, s1c, n) +
bliss_utils_scalar_product(s2c, s2c, n);
}
if (!sampler->bernoulli_exp(sampler, this->set->M - norm, &accepted))
{
goto end;
}
DBG2(DBG_LIB, "norm2(s1*c) + norm2(s2*c) = %u, %s",
norm, accepted ? "accepted" : "rejected");
if (use_bliss_b)
{
DBG2(DBG_LIB, "norm2(s1*c') + norm2(s2*c') = %u (%u max), %s",
norm, this->set->p_max, accepted ? "accepted" : "rejected");
}
else
{
DBG2(DBG_LIB, "norm2(s1*c) + norm2(s2*c) = %u, %s",
norm, accepted ? "accepted" : "rejected");
}
if (!accepted)
{
continue;
@ -523,8 +623,10 @@ METHOD(private_key_t, get_fingerprint, bool,
}
success = bliss_public_key_fingerprint(this->set->oid, this->A,
this->set, type, fp);
lib->encoding->cache(lib->encoding, type, this, *fp);
if (success)
{
lib->encoding->cache(lib->encoding, type, this, *fp);
}
return success;
}
@ -834,16 +936,34 @@ static bool create_secret(private_bliss_private_key_t *this, rng_t *rng,
l2_norm = wrapped_product(f, f, n, 0) + wrapped_product(g, g, n, 0);
nks = nks_norm(f, g, n, this->set->kappa);
DBG2(DBG_LIB, "l2 norm of s1||s2: %d, Nk(S): %u (%u max)",
l2_norm, nks, this->set->nks_max);
if (nks < this->set->nks_max)
switch (this->set->id)
{
*s1 = f;
*s2 = g;
return TRUE;
case BLISS_I:
case BLISS_II:
case BLISS_III:
case BLISS_IV:
DBG2(DBG_LIB, "l2 norm of s1||s2: %d, Nk(S): %u (%u max)",
l2_norm, nks, this->set->nks_max);
if (nks < this->set->nks_max)
{
*s1 = f;
*s2 = g;
return TRUE;
}
free(f);
free(g);
break;
case BLISS_B_I:
case BLISS_B_II:
case BLISS_B_III:
case BLISS_B_IV:
DBG2(DBG_LIB, "l2 norm of s1||s2: %d, Nk(S): %u",
l2_norm, nks);
*s1 = f;
*s2 = g;
return TRUE;
}
free(f);
free(g);
}
return FALSE;
@ -855,7 +975,7 @@ static bool create_secret(private_bliss_private_key_t *this, rng_t *rng,
bliss_private_key_t *bliss_private_key_gen(key_type_t type, va_list args)
{
private_bliss_private_key_t *this;
u_int key_size = 1;
u_int key_size = BLISS_B_I;
int i, n, trials = 0;
uint32_t *S1, *S2, *a;
uint16_t q;
@ -879,11 +999,33 @@ bliss_private_key_t *bliss_private_key_gen(key_type_t type, va_list args)
break;
}
/* Only BLISS-I, BLISS-III and BLISS-IV are currently supported */
if (lib->settings->get_bool(lib->settings, "%s.plugins.bliss.use_bliss_b",
TRUE, lib->ns))
{
switch (key_size)
{
case BLISS_I:
key_size = BLISS_B_I;
break;
case BLISS_II:
key_size = BLISS_B_II;
break;
case BLISS_III:
key_size = BLISS_B_III;
break;
case BLISS_IV:
key_size = BLISS_B_IV;
break;
default:
break;
}
}
/* Only BLISS or BLISS-B types I, III, or IV are currently supported */
set = bliss_param_set_get_by_id(key_size);
if (!set)
{
DBG1(DBG_LIB, "BLISS parameter set %u not supported");
DBG1(DBG_LIB, "BLISS parameter set %u not supported", key_size);
return NULL;
}
@ -1004,6 +1146,7 @@ bliss_private_key_t *bliss_private_key_load(key_type_t type, va_list args)
bliss_bitpacker_t *packer;
asn1_parser_t *parser;
size_t s_bits = 0;
int8_t s, s_min, s_max;
uint32_t s_sign = 0x02, s_mask = 0xfffffffc, value;
bool success = FALSE;
int objectID, oid, i;
@ -1047,9 +1190,36 @@ bliss_private_key_t *bliss_private_key_load(key_type_t type, va_list args)
{
goto end;
}
/* Use either 2 or 3 bits per array element */
s_bits = 2 + (this->set->non_zero2 > 0);
if (lib->settings->get_bool(lib->settings,
"%s.plugins.bliss.use_bliss_b",TRUE, lib->ns))
{
switch (this->set->id)
{
case BLISS_I:
this->set = bliss_param_set_get_by_id(BLISS_B_I);
break;
case BLISS_III:
this->set = bliss_param_set_get_by_id(BLISS_B_III);
break;
case BLISS_IV:
this->set = bliss_param_set_get_by_id(BLISS_B_IV);
break;
default:
break;
}
}
if (this->set->non_zero2)
{
s_min = -2;
s_max = 2;
s_bits = 3;
}
else
{
s_min = -1;
s_max = 1;
s_bits = 2;
}
s_sign = 1 << (s_bits - 1);
s_mask = ((1 << (32 - s_bits)) - 1) << s_bits;
break;
@ -1072,7 +1242,13 @@ bliss_private_key_t *bliss_private_key_load(key_type_t type, va_list args)
for (i = 0; i < this->set->n; i++)
{
packer->read_bits(packer, &value, s_bits);
this->s1[i] = (value & s_sign) ? value | s_mask : value;
s = (value & s_sign) ? value | s_mask : value;
if (s < s_min || s > s_max)
{
packer->destroy(packer);
goto end;
}
this->s1[i] = s;
}
packer->destroy(packer);
break;
@ -1089,7 +1265,13 @@ bliss_private_key_t *bliss_private_key_load(key_type_t type, va_list args)
for (i = 0; i < this->set->n; i++)
{
packer->read_bits(packer, &value, s_bits);
this->s2[i] = 2*((value & s_sign) ? value | s_mask : value);
s = (value & s_sign) ? value | s_mask : value;
if (s < s_min || s > s_max)
{
packer->destroy(packer);
goto end;
}
this->s2[i] = 2 * s;
if (i == 0)
{
this->s2[0] += 1;

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@ -410,6 +410,11 @@ bool bliss_public_key_from_asn1(chunk_t object, bliss_param_set_t *set,
for (i = 0; i < set->n; i++)
{
packer->read_bits(packer, &coefficient, set->q_bits);
if (coefficient >= set->q)
{
packer->destroy(packer);
return FALSE;
}
(*pubkey)[i] = coefficient;
}
packer->destroy(packer);

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@ -177,6 +177,12 @@ bliss_signature_t *bliss_signature_create_from_data(bliss_param_set_t *set,
return NULL;
}
if (encoding.len == 0)
{
DBG1(DBG_LIB, "zero length BLISS signature");
return NULL;
}
INIT(this,
.public = {
.get_encoding = _get_encoding,
@ -198,6 +204,7 @@ bliss_signature_t *bliss_signature_create_from_data(bliss_param_set_t *set,
!packer->read_bits(packer, &z1_low, 8) ||
!coder->decode(coder, &z1, &z2))
{
DBG1(DBG_LIB, "truncated BLISS signature encoding of z1/z2");
coder->destroy(coder);
packer->destroy(packer);
destroy(this);
@ -213,6 +220,7 @@ bliss_signature_t *bliss_signature_create_from_data(bliss_param_set_t *set,
{
if (!packer->read_bits(packer, &value, set->n_bits))
{
DBG1(DBG_LIB, "truncated BLISS signature encoding of c_indices");
packer->destroy(packer);
destroy(this);
return NULL;